Least Common Multiple of 46/377, 73/264, 144/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/377, 73/264, 144/261 quickly i.e. 241776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/377, 73/264, 144/261 is 241776.

LCM(46/377, 73/264, 144/261) = 241776

LCM of 46/377, 73/264, 144/261

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 46/377,73/264,144/261

Given numbers are 46/377,73/264,144/261

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 46,73,144

Least Common Multiple of Numerators i.e. LCM of 46,73,144 is 241776.

GCF of Denominators means GCF of 377,264,261 as per the given fractions.

GCF of 377,264,261 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,73,144

LCM of Fractions 46/377,73/264,144/261 is 241776

2 46, 73, 144
23, 73, 72

∴ So the LCM of the given numbers is 2 x 23 x 73 x 72 = 241776

Least Common Multiple of 46,73,144 with GCF Formula

Least Common Multiple of 46,73,144 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 46,73,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,73,144) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,73,144) x common factors =1 x 2 = 2

LCM(46,73,144) = ( 46 × 73 × 144 ) / 2

LCM(46,73,144) = 483552 / 2

LCM(46,73,144) = 241776


Lets's calculate GCF of 377,264,261

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241776/1

Therefore the LCM of Fractions 46/377,73/264,144/261 is 241776

Greatest Common Factor of 377,264,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,264,261 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 377,264,261 . The biggest common factor number is the GCF number.
So the greatest common factor 377,264,261 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 46/377, 73/264, 144/261

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 46/377, 73/264, 144/261?

Answer: LCM of Numerators as per given numbers 46/377, 73/264, 144/261 is

LCM of Numerators i.e. for 46,73,144 is 241776

GCF of denominators i.e. for 377,264,261 is 1.

Thus, LCM of Fractions is 241776.Finally, LCM of Fractions for 46/377, 73/264, 144/261 is 241776.